I just got my tonsils removed on Aug. 21st, and have experienced Uvular swelling and such as well.
I notice my worst times are when I try to sleep, and first then when I wake up.
Luckily you're on steroids and strong pain meds. I was prescribed NO steroids, NO antibiotics, and only 10 Tylenol 3's, so I'm pretty much dying over here
For the swelling, suck on some ice chips or drink ice water; it also helps if you have a cool compress around your neck. Be sure to keep hyrdated as I have found this to REALLY help decrease my swelling. And try to eat something every couple of hours...
Goodluck, and hopefully we'll recover soon.